Results 91 to 100 of about 305,614 (232)
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
The Functional Delta Method for Deriving Asymptotic Distributions
The distribution of the scaled difference between the plug‐in estimator Tθ̂n$$ T\left({\hat{\boldsymbol{\theta}}}_n\right) $$ and the true parameter Tθ0$$ T\left({\boldsymbol{\theta}}_0\right) $$ is approximated by the distribution of the scaled difference between θ̂n$$ {\hat{\boldsymbol{\theta}}}_n $$ and θ0$$ {\boldsymbol{\theta}}_0 $$ and a ...
Eric Beutner
wiley +1 more source
Separated sequences in uniformly convex Banach spaces [PDF]
A well-known result of \textit{J. Elton} and \textit{E. Odell} [Colloq.\ Math.\ 44, 105--109 (1981; Zbl 0493.46014)] states that, for any normed linear space \(X\), there exists \(r>1\) and a sequence \((x_n)\) of norm-one elements in \(X\) such that \(\| x_m-x_n\| \geq r\) whenever \(m\neq n\). Such a sequence is called an \(r\)-separated sequence. In
openaire +3 more sources
On the undefinability of Tsirelson's space and its descendants
We prove that Tsirelson's space cannot be defined explicitly from the classical Banach sequence spaces. We also prove that any Banach space that is explicitly definable from a class of spaces that contain $\ell_p$ or $c_0$ must contain $\ell_p$ or $c_0 ...
Casazza, Peter, Iovino, Jose
core
Convergence properties of dynamic mode decomposition for analytic interval maps
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Fixed Points of Kannan Maps in the Variable Exponent Sequence Spaces ℓp(·)
Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou +1 more
doaj +1 more source
A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES
A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
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In this paper, we present a new self-adaptive inertial projection method for solving split common null point problems in p-uniformly convex and uniformly smooth Banach spaces.
Chibueze Christian Okeke +2 more
doaj +1 more source
A General Dynamic Programming Approach to the Optimal Water Storage Management for Irrigation
ABSTRACT This paper proposes a dynamic programming approach targeted to solve a natural resource problem of water storage management for irrigation in an environmentally and socially sustainable way. The problem we address in our formulation, focusing on the control of water storage in tanks, is based on assumptions that are less restrictive than those
Abdelkader Belhenniche +3 more
wiley +1 more source

